[ 4 0] [-2 -3] What is the Adj of this matrix

April 9, 2026Mathematics

ScanSolve AI Answer

April 9, 2026

Answer

\begin{bmatrix} -3 & 0 \ 2 & 4 \end{bmatrix}

Step 1: Identify the elements of the matrix. The given matrix is: $A = \begin{bmatrix} 4 & 0 \\ -2 & -3 \end{bmatrix}$ Here, $a=4$ , $b=0$ , $c=-2$ , and $d=-3$ .

Step 2: Apply the formula for the adjoint of a $2 \times 2$ matrix. For a $2 \times 2$ matrix $\begin{bmatrix} a & b \\ c & d \end{bmatrix}$ , the adjoint matrix is given by: $\text{Adj}(A) = \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$

Step 3: Substitute the values from the given matrix into the adjoint formula. $\text{Adj}(A) = \begin{bmatrix} -3 & -(0) \\ -(-2) & 4 \end{bmatrix}$

Step 4: Simplify the elements. $\text{Adj}(A) = \begin{bmatrix} -3 & 0 \\ 2 & 4 \end{bmatrix}$

The adjoint of the matrix is $\boxed{\begin{bmatrix} -3 & 0 \\ 2 & 4 \end{bmatrix}}$ .

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QThe ages of 3 men are in ration 3,4,5 if the difference between the oldest and youngest is 18 yes fi…QA Magic Triangle place number 10 6 on the sides is equal find that sum. Draw and show the arrangemen…QMake up a word problem whose solution require the expression: (2s+15)x3 20÷4 Solve it step-by-step.QEvaluate 0.12 / (4.56x3.6) and express QStart with the initial number. The starting number is 2. Multiply by 10 for the first time, second t…

See all Mathematics questions →

Still have questions?

Quick Answer

Identify the elements of the matrix. The given matrix is: A = 4 & 0 \\ -2 & -3 Here, a=4, b=0, c=-2, and d=-3.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

Step 1: Identify the elements of the matrix. The given matrix is: A = 4 & 0 \\ -2 & -3 Here, a=4, b=0, c=-2, and d=-3. Step 2: Apply the formula for the adjoint of a 2 × 2 matrix. For a 2 × 2 matrix a & b \\ c & d , the adjoint matrix is given by: Adj(A) = d & -b \\ -c & a Step 3: Substitute the values from the given matrix into the adjoint formula. Adj(A) = -3 & -(0) \\ -(-2) & 4 Step 4: Simplify the elements. Adj(A) = -3 & 0 \\ 2 & 4 The adjoint of the matrix is -3 & 0 \\ 2 & 4 .